Question

I need help with this problem find the coordinates of the midpointM(14,7) and (-9,1)

Answer 1

The midpoint is given by the following formula:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where (x1,y1) and (x2,y2) are the coordinates of the endpoints of the segment.

Replace the given values in the formula and solve for M:

$\begin{gathered} M=(\frac{14+(-9)}{2},\frac{7+1}{2}) \\ M=(\frac{5}{2},\frac{8}{2}) \\ M=(2.5,4) \end{gathered}$

The coordinates of the midpoint are M(2.5,4)